Finite Group Databasebeta

← #11632991

Subgroups — #11632991

Order 768.

3360 conjugacy classes of subgroups.

The subgroup lattice has 1918 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5654C211yesmaximal, characteristic, complemented
2C2×#5656C211yesmaximal, characteristic, complemented
3C2×#5610C211yesmaximal, characteristic, complemented
4C2×#5547C211yesmaximal, characteristic, complemented
5C3×#2422C211yesmaximal, characteristic, complemented
6#82898C211yesmaximal, characteristic, complemented
7#82896C211yesmaximal, characteristic, complemented
8#82713C211yesmaximal, characteristic, complemented
9#82404C211yesmaximal, characteristic, complemented
10#77689C211yesmaximal, characteristic, complemented
11#77669C211yesmaximal, characteristic, complemented
12#77466C211yesmaximal, characteristic, complemented
13#77462C211yesmaximal, characteristic, complemented
14#77138C211yesmaximal, characteristic, complemented
15#76904C211yesmaximal, characteristic, complemented
16#76900C211yesmaximal, characteristic, complemented
17#76895C211yesmaximal, characteristic, complemented
18#76464C211yesmaximal, characteristic, complemented
19#76305C211yesmaximal, characteristic, complemented
20#76226C211yesmaximal, characteristic, complemented
21#75995C211yesmaximal, characteristic, complemented
22#74596C211yesmaximal, characteristic, complemented
23#74411C211yesmaximal, characteristic, complemented
24#74409C211yesmaximal, characteristic, complemented
25#74379C211yesmaximal, characteristic, complemented
26#74362C211yesmaximal, characteristic, complemented
27#74334C211yesmaximal, characteristic, complemented
28#74021C211yesmaximal, characteristic, complemented
29#73895C211yesmaximal, characteristic, complemented
30#73577C211yesmaximal, characteristic, complemented
31#73470C211yesmaximal, characteristic, complemented
32#59000—31nomaximal, Sylow
33C22×#237C2211yescharacteristic
34C22×D3×D4C2211yescharacteristic, complemented
35C22×#235C2211yescharacteristic
36C23×C4×D3C2211yescharacteristic, complemented
37C2×C3×#123C2211yescharacteristic, complemented
38C2×C3×#123C2211yescharacteristic, complemented
39C2×C3×#121C2211yescharacteristic
40C2×C3×C4×D4C2211yescharacteristic, complemented
41C2×#939C2211yescharacteristic
42C2×#939C2211yescharacteristic
43C2×#937C2211yescharacteristic
44C2×#937C2211yescharacteristic
45C2×#937C2211yescharacteristic, complemented
46C2×#937C2211yescharacteristic, complemented
47C2×#935C2211yescharacteristic, complemented
48C2×#929C2211yescharacteristic, complemented
49C2×C4×#67C2211yescharacteristic, complemented
50C2×C4×#67C2211yescharacteristic, complemented
51C2×C4×#67C2211yescharacteristic, complemented
52C22×(C2×D3)⋊C4C2211yescharacteristic, complemented
53C22×(C2×D3)⋊C4C2211yescharacteristic, complemented
54#5656—28no—
55#5654—28no—
56#5610—28no—
57#5547—28no—
58C2×#896C2211yescharacteristic, complemented
59C2×#896C2211yescharacteristic, complemented
60C2×#896C2211yescharacteristic, complemented
61C2×#896C2211yescharacteristic, complemented
62C2×#896C2211yescharacteristic, complemented
63C2×#895C2211yescharacteristic
64C2×#894C2211yescharacteristic, complemented
65C2×#894C2211yescharacteristic, complemented
66C2×#894C2211yescharacteristic, complemented
67C2×#893C2211yescharacteristic
68C2×#893C2211yescharacteristic
69C2×#893C2211yescharacteristic, complemented
70C2×#893C2211yescharacteristic, complemented
71C2×#888C2211yescharacteristic, complemented
72C2×#885C2211yescharacteristic, complemented
73C2×#885C2211yescharacteristic, complemented
74C2×#884C2211yescharacteristic
75C2×#884C2211yescharacteristic
76C2×#884C2211yescharacteristic
77C2×#884C2211yescharacteristic
78C2×#883C2211yescharacteristic, complemented
79C2×#882C2211yescharacteristic
80C2×#882C2211yescharacteristic
81C2×#882C2211yescharacteristic
82C2×#882C2211yescharacteristic
83C2×#882C2211yescharacteristic
84C2×#882C2211yescharacteristic, complemented
85C2×#882C2211yescharacteristic, complemented
86C2×#67⋊C4C2211yescharacteristic
87C2×#67⋊C4C2211yescharacteristic, complemented
88C2×#67⋊C4C2211yescharacteristic, complemented
89C2×#67⋊C4C2211yescharacteristic, complemented
90C2×D3×C22⋊C4C2211yescharacteristic, complemented
91C2×D3×C22⋊C4C2211yescharacteristic, complemented
92C2×#878C2211yescharacteristic, complemented
93C2×#877C2211yescharacteristic, complemented
94C2×C4×D12C2211yescharacteristic, complemented
95C2×#872C2211yescharacteristic, complemented
96C3×#397C2211yescharacteristic, complemented
97C3×#397C2211yescharacteristic, complemented
98C3×#394C2211yescharacteristic, complemented
99C3×#394C2211yescharacteristic, complemented
100C3×#390C2211yescharacteristic, complemented
101C3×#389C2211yescharacteristic, complemented
102C3×#385C2211yescharacteristic, complemented
103C3×#385C2211yescharacteristic, complemented
104C3×#384C2211yescharacteristic, complemented
105C3×#380C2211yescharacteristic, complemented
106C3×C4×C22⋊C4C2211yescharacteristic, complemented
107#5223C2211yescharacteristic
108#5222C2211yescharacteristic, complemented
109#5220C2211yescharacteristic, complemented
110#5213C2211yescharacteristic
111#5213C2211yescharacteristic, complemented
112#5213C2211yescharacteristic, complemented
113#5210C2211yescharacteristic, complemented
114#4993C2211yescharacteristic, complemented
115#4993C2211yescharacteristic, complemented
116#4993C2211yescharacteristic, complemented
117#4993C2211yescharacteristic, complemented
118#4992C2211yescharacteristic, complemented
119#4992C2211yescharacteristic, complemented
120#4991C2211yescharacteristic
121#4991C2211yescharacteristic, complemented
122#4991C2211yescharacteristic, complemented
123#4991C2211yescharacteristic, complemented
124#4990C2211yescharacteristic, complemented
125#4990C2211yescharacteristic, complemented
126#4989C2211yescharacteristic, complemented
127#4989C2211yescharacteristic, complemented
128#4989C2211yescharacteristic, complemented
129#4989C2211yescharacteristic, complemented
130#4988C2211yescharacteristic
131#4987C2211yescharacteristic, complemented
132#4976C2211yescharacteristic, complemented
133#4976C2211yescharacteristic, complemented
134#4975C2211yescharacteristic, complemented
135#4972C2211yescharacteristic, complemented
136#4961C2211yescharacteristic
137#4961C2211yescharacteristic, complemented
138#4961C2211yescharacteristic, complemented
139#4961C2211yescharacteristic, complemented
140#4959C2211yescharacteristic
141#4959C2211yescharacteristic, complemented
142#4959C2211yescharacteristic, complemented
143#4959C2211yescharacteristic, complemented
144#4958C2211yescharacteristic, complemented
145#4957C2211yescharacteristic, complemented
146#4957C2211yescharacteristic, complemented
147#4957C2211yescharacteristic, complemented
148#4957C2211yescharacteristic, complemented
149#4956C2211yescharacteristic, complemented
150#4955C2211yescharacteristic, complemented
151#4955C2211yescharacteristic, complemented
152#4955C2211yescharacteristic, complemented
153#4952C2211yescharacteristic, complemented
154#4952C2211yescharacteristic, complemented
155#4951C2211yescharacteristic, complemented
156#4950C2211yescharacteristic, complemented
157#4946C2211yescharacteristic, complemented
158#4944C2211yescharacteristic, complemented
159#4942C2211yescharacteristic, complemented
160Dic3×C22⋊C4C2211yescharacteristic, complemented
161Dic3×C22⋊C4C2211yescharacteristic, complemented
162#4940C2211yescharacteristic, complemented
163#4940C2211yescharacteristic, complemented
164#4939C2211yescharacteristic
165#4939C2211yescharacteristic, complemented
166C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
167C4×Dic3⋊C4C2211yescharacteristic, complemented
168#4675C2211yescharacteristic, complemented
169#4675C2211yescharacteristic, complemented
170#4672C2211yescharacteristic
171#4672C2211yescharacteristic, complemented
172#4672C2211yescharacteristic, complemented
173#4671C2211yescharacteristic
174#4670C2211yescharacteristic, complemented
175#4669C2211yescharacteristic, complemented
176#4668C2211yescharacteristic, complemented
177#4668C2211yescharacteristic, complemented
178#4667C2211yescharacteristic, complemented
179#4667C2211yescharacteristic, complemented
180#4666C2211yescharacteristic, complemented
181#4666C2211yescharacteristic, complemented
182#4666C2211yescharacteristic, complemented
183#4665C2211yescharacteristic
184#4665C2211yescharacteristic
185#4665C2211yescharacteristic, complemented
186#4665C2211yescharacteristic, complemented
187#4665C2211yescharacteristic, complemented
188#4647C2211yescharacteristic, complemented
189#4647C2211yescharacteristic, complemented
190#4646C2211yescharacteristic, complemented
191#4646C2211yescharacteristic, complemented
192C2×#546—31no—
193C2×#546—31no—
194C2×#525—31no—
195C2×#525—31no—
196#2679—31no—
197#2679—31no—
198#2668—31no—
199#2668—31no—
200#2542—31no—
201#2455—31no—
202#2455—31no—
203#2432—31no—
204#2432—31no—
205#2427—31no—
206#2427—31no—
207#2422—31no—
208#2422—31no—
209#2422—31no—
210#2422D311yescharacteristic, complemented
211#2418—31no—
212#2418—31no—
213#2418—31no—
214#2418—31no—
215#2415—31no—
216#2415—31no—
217#2408—31no—
218#2363—31no—
219#2363—31no—
220#2358—31no—
221#2358—31no—
222C4×#120—31no—
223C24×D3C2311yescharacteristic
224C24×D3C2311yescharacteristic
225C24×D3C2311yescharacteristic
226C22×C3×D4C2311yescharacteristic
227C22×C3×D4C2311yescharacteristic
228C22×C3×D4C2311yescharacteristic
229C23×C3×C4C2311yescharacteristic
230C23×C3×C4C2311yescharacteristic
231C23×C3×C4C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C22×#67C2311yescharacteristic
240C22×#67C2311yescharacteristic
241C23×Dic3C2311yescharacteristic
242C23×Dic3C2311yescharacteristic
243C23×Dic3C2311yescharacteristic
244C2×#237—24no—
245C2×#237—24no—
246C2×#237—42no—
247C2×D3×D4—24no—
248C2×D3×D4—24no—
249C2×D3×D4—42no—
250C2×#235—24no—
251C2×#235—24no—
252C2×#235—42no—
253C22×D12C2311yescharacteristic
254C22×D12C2311yescharacteristic
255C22×D12C2311yescharacteristic
256C22×D12C2311yescharacteristic
257C22×D12C2311yescharacteristic
258C22×D12C2311yescharacteristic
259C22×D12C2311yescharacteristic
260C22×C4×D3—24no—
261C22×C4×D3—24no—
262C22×C4×D3—42no—
263C22×C4×D3C2311yescharacteristic
264C22×C4×D3C2311yescharacteristic
265C22×C4×D3C2311yescharacteristic
266C22×C4×D3C2311yescharacteristic
267C22×C4×D3C2311yescharacteristic
268C22×C4×D3C2311yescharacteristic
269C22×C4×D3C2311yescharacteristic
270C22×C4×D3C2311yescharacteristic
271C22×C4×D3C2311yescharacteristic
272C22×Dic6C2311yescharacteristic
273C22×Dic6C2311yescharacteristic
274C3×#123—24no—
275C3×#123—24no—
276C3×#121—24no—
277C3×C4×D4—24no—
278C2×C3×C4⋊C4C2311yescharacteristic
279C2×C3×C4⋊C4C2311yescharacteristic
280C2×C3×C4⋊C4C2311yescharacteristic
281C2×C3×C4⋊C4C2311yescharacteristic
282C2×C3×C4⋊C4C2311yescharacteristic
283C2×C3×C4⋊C4C2311yescharacteristic
284C2×C3×C4⋊C4C2311yescharacteristic
285C2×C3×C4⋊C4C2311yescharacteristic
286C2×C3×C4⋊C4C2311yescharacteristic
287C2×C3×C22⋊C4C2311yescharacteristic
288C2×C3×C22⋊C4C2311yescharacteristic
289C2×C3×C22⋊C4C2311yescharacteristic
290C2×C3×C22⋊C4C2311yescharacteristic
291C2×C3×C22⋊C4C2311yescharacteristic
292C2×C3×C22⋊C4C2311yescharacteristic
293C2×C3×C22⋊C4C2311yescharacteristic
294C2×C3×C22⋊C4C2311yescharacteristic
295C2×C3×C22⋊C4C2311yescharacteristic
296C2×C3×C22⋊C4C2311yescharacteristic
297C2×C3×C22⋊C4C2311yescharacteristic
298C2×C3×C22⋊C4C2311yescharacteristic
299C2×C3×C42C2311yescharacteristic
300C2×C3×C42C2311yescharacteristic
301C2×#217C2311yescharacteristic
302C2×#217C2311yescharacteristic
303C2×#217C2311yescharacteristic
304C2×#217C2311yescharacteristic
305C2×#217C2311yescharacteristic
306C2×#217C2311yescharacteristic
307C2×#217C2311yescharacteristic
308C2×#217C2311yescharacteristic
309C2×#217C2311yescharacteristic
310#939—24no—
311#939D418yescomplemented
312#937—24no—
313#937—24no—
314#937—24no—
315#937—24no—
316#935—24no—
317#929—24no—
318C4×#67—24no—
319C4×#67—24no—
320C4×#67—24no—
321C2×(C2×D3)⋊C4—24no—
322C2×(C2×D3)⋊C4—24no—
323C2×(C2×D3)⋊C4C2311yescharacteristic
324C2×(C2×D3)⋊C4C2311yescharacteristic
325C2×(C2×D3)⋊C4C2311yescharacteristic
326C2×(C2×D3)⋊C4C2311yescharacteristic
327C2×(C2×D3)⋊C4C2311yescharacteristic
328C2×(C2×D3)⋊C4C2311yescharacteristic
329C2×(C2×D3)⋊C4C2311yescharacteristic
330C2×(C2×D3)⋊C4C2311yescharacteristic
331C2×(C2×D3)⋊C4C2311yescharacteristic
332C2×(C2×D3)⋊C4C2311yescharacteristic
333C2×(C2×D3)⋊C4C2311yescharacteristic
334C2×(C2×D3)⋊C4C2311yescharacteristic
335C2×(C2×D3)⋊C4C2311yescharacteristic
336C2×(C2×D3)⋊C4C2311yescharacteristic
337C2×(C2×D3)⋊C4C2311yescharacteristic
338C2×(C2×D3)⋊C4C2311yescharacteristic
339C2×(C2×D3)⋊C4C2311yescharacteristic
340C2×(C2×D3)⋊C4C2311yescharacteristic
341C2×(C2×D3)⋊C4C2311yescharacteristic
342C2×(C2×D3)⋊C4C2311yescharacteristic
343C2×(C2×D3)⋊C4C2311yescharacteristic
344C2×(C2×D3)⋊C4C2311yescharacteristic
345C2×(C2×D3)⋊C4C2311yescharacteristic
346C2×(C2×D3)⋊C4C2311yescharacteristic
347C2×(C2×D3)⋊C4C2311yescharacteristic
348C2×(C2×D3)⋊C4C2311yescharacteristic
349C2×(C2×D3)⋊C4C2311yescharacteristic
350C2×(C2×D3)⋊C4C2311yescharacteristic
351C2×(C2×D3)⋊C4C2311yescharacteristic
352C2×(C2×D3)⋊C4C2311yescharacteristic
353C2×(C2×D3)⋊C4C2311yescharacteristic
354C2×(C2×D3)⋊C4C2311yescharacteristic
355C2×(C2×D3)⋊C4C2311yescharacteristic
356C2×(C2×D3)⋊C4C2311yescharacteristic
357C2×(C2×D3)⋊C4C2311yescharacteristic
358C2×(C2×D3)⋊C4C2311yescharacteristic
359C2×(C2×D3)⋊C4C2311yescharacteristic
360C2×C4⋊Dic3C2311yescharacteristic
361C2×C4⋊Dic3C2311yescharacteristic
362C2×C4⋊Dic3C2311yescharacteristic
363C2×Dic3⋊C4C2311yescharacteristic
364C2×Dic3⋊C4C2311yescharacteristic
365C2×Dic3⋊C4C2311yescharacteristic
366C2×Dic3⋊C4C2311yescharacteristic
367C2×Dic3⋊C4C2311yescharacteristic
368C2×Dic3⋊C4C2311yescharacteristic
369C2×Dic3⋊C4C2311yescharacteristic
370C2×Dic3⋊C4C2311yescharacteristic
371C2×Dic3⋊C4C2311yescharacteristic
372C2×Dic3⋊C4C2311yescharacteristic
373C2×Dic3⋊C4C2311yescharacteristic
374C2×Dic3⋊C4C2311yescharacteristic
375C2×Dic3⋊C4C2311yescharacteristic
376C2×Dic3⋊C4C2311yescharacteristic
377C2×Dic3⋊C4C2311yescharacteristic
378C2×C4×Dic3C2311yescharacteristic
379C2×C4×Dic3C2311yescharacteristic
380C2×C4×Dic3C2311yescharacteristic
381C2×C4×Dic3C2311yescharacteristic
382C2×C4×Dic3C2311yescharacteristic
383C2×C4×Dic3C2311yescharacteristic
384C2×C4×Dic3C2311yescharacteristic
385#896—24no—
386#896—24no—
387#896—24no—
388#896—24no—
389#896—24no—
390#895—24no—
391#894—24no—
392#894—24no—
393#894—24no—
394#893—24no—
395#893—24no—
396#893—24no—
397#893—42no—
398#888—42no—
399#885—24no—
400#885—24no—
401#884—24no—
402#884—24no—
403#884—24no—
404#884D418yescomplemented
405#883—24no—
406#882—24no—
407#882—24no—
408#882—24no—
409#882—24no—
410#882—24no—
411#882—24no—
412#882—24no—
413#67⋊C4—24no—
414#67⋊C4—24no—
415#67⋊C4—24no—
416#67⋊C4—24no—
417D3×C22⋊C4—24no—
418D3×C22⋊C4—24no—
419#878—24no—
420#877—24no—
421C4×D12—24no—
422#872—24no—
423C3×#95C2311yescharacteristic
424C3×#95C2311yescharacteristic
425C3×#95C2311yescharacteristic
426C3×#95C2311yescharacteristic
427C3×#95C2311yescharacteristic
428C3×#95C2311yescharacteristic
429C3⋊#95C2311yescharacteristic
430C3⋊#95C2311yescharacteristic
431C3⋊#95C2311yescharacteristic
432C3⋊#95C2311yescharacteristic
433C3⋊#95C2311yescharacteristic
434C3⋊#95C2311yescharacteristic
435C3⋊#95C2311yescharacteristic
436C3⋊#95C2311yescharacteristic
437C3⋊#95C2311yescharacteristic
438C3⋊#95C2311yescharacteristic
439C3⋊#95C2311yescharacteristic
440C3⋊#95C2311yescharacteristic
441C3⋊#95C2311yescharacteristic
442C3⋊#95C2311yescharacteristic
443C3⋊#95C2311yescharacteristic
444C3⋊#95C2311yescharacteristic
445C22×#41—31no—
446C22×#41—31no—
447C23×D4—31no—
448C24×C4—31no—
449#546—68no—
450#546—68no—
451C2×C4⋊Q8—31no—
452C2×#124—31no—
453C2×#124—31no—
454#525—68no—
455#525—68no—
456C2×#123—31no—
457C2×#123—31no—
458C2×#123—31no—
459C2×#123—31no—
460C2×#123—31no—
461C2×#123—31no—
462C2×#123C2×D311yescharacteristic, complemented
463C2×#123C2×D311yescharacteristic, complemented
464C2×C22⋊Q8—31no—
465C2×C22⋊Q8—31no—
466C2×C22⋊Q8—31no—
467C2×C22⋊Q8—31no—
468C2×C22⋊Q8—31no—
469C2×C22⋊Q8—31no—
470C2×#121—31no—
471C2×#121—31no—
472C2×#121—31no—
473C2×#121—31no—
474C2×#121—31no—
475C2×#121—31no—
476C2×#121—31no—
477C2×#121C2×D311yescharacteristic
478C2×#120—31no—
479C2×#120—31no—
480C2×#120—31no—
481C2×#120—31no—
482C2×#120—31no—
483C2×#120—31no—
484C2×#120—31no—
485C2×#120—31no—
486C2×#120—31no—
487C2×#120—31no—
488C2×#120—31no—
489C2×C4×D4—31no—
490C2×C4×D4—31no—
491C2×C4×D4—31no—
492C2×C4×D4—31no—
493C2×C4×D4—31no—
494C2×C4×D4—31no—
495C2×C4×D4—31no—
496C2×C4×D4—31no—
497C2×C4×D4—31no—
498C2×C4×D4—31no—
499C2×C4×D4—31no—
500C2×C4×D4—31no—
501C2×C4×D4C2×D311yescharacteristic, complemented
502C2×#117—31no—
503C2×#117—31no—
504C22×C22⋊C4—31no—
505C22×C22⋊C4—31no—
506C22×C22⋊C4—31no—
507C22×C22⋊C4—31no—
508#399—31no—
509#399—31no—
510#399—31no—
511#399—31no—
512#397—31no—
513#397—31no—
514#397—31no—
515#397—31no—
516#397—31no—
517#397—31no—
518#397C2×D311yescharacteristic, complemented
519#397C2×D311yescharacteristic, complemented
520#394—31no—
521#394—31no—
522#394—31no—
523#394—31no—
524#394—31no—
525#394—31no—
526#394—31no—
527#394—31no—
528#394—31no—
529#394—31no—
530#394—31no—
531#394—31no—
532#394—31no—
533#394—31no—
534#394—31no—
535#394—31no—
536#394C2×D311yescharacteristic, complemented
537#394C2×D311yescharacteristic, complemented
538#392—31no—
539#392—31no—
540#391—31no—
541#391—31no—
542#390—31no—
543#390—31no—
544#390—31no—
545#390—31no—
546#390—31no—
547#390—31no—
548#390—31no—
549#390C2×D311yescharacteristic, complemented
550#389—31no—
551#389—31no—
552#389—31no—
553#389—31no—
554#389—31no—
555#389C2×D311yescharacteristic, complemented
556#388—31no—
557#388—31no—
558#388—31no—
559#388—31no—
560#388—31no—
561#388—31no—
562#388—31no—
563#388—31no—
564#386—31no—
565#386—31no—
566#386—31no—
567#386—31no—
568#386—31no—
569#386—31no—
570#386—31no—
571#386—31no—
572#386—31no—
573#386—31no—
574#386—31no—
575#385—31no—
576#385—31no—
577#385—31no—
578#385—31no—
579#385—31no—
580#385—31no—
581#385—31no—
582#385—31no—
583#385—31no—
584#385C2×D311yescharacteristic, complemented
585#385C2×D311yescharacteristic, complemented
586#384—31no—
587#384C2×D311yescharacteristic, complemented
588#380—31no—
589#380—31no—
590#380—31no—
591#380—31no—
592#380C2×D311yescharacteristic, complemented
593#379—31no—
594#379—31no—
595#379—31no—
596C4×C4⋊C4—31no—
597C4×C22⋊C4—31no—
598C4×C22⋊C4—31no—
599C4×C22⋊C4—31no—
600C4×C22⋊C4—31no—
601C4×C22⋊C4—31no—
602C4×C22⋊C4—31no—
603C4×C22⋊C4C2×D311yescharacteristic, complemented
604C24×C3C2411yescharacteristic
605C24×C3C2411yescharacteristic
606C24×C3C2411yescharacteristic
607C23×D3—22no—
608C23×D3—22no—
609C23×D3—22no—
610C23×D3—22no—
611C23×D3—22no—
612C23×D3—22no—
613C23×D3—22no—
614C23×D3—22no—
615C23×D3—22no—
616C23×D3—41no—
617C23×D3—41no—
618C23×D3—41no—
619C23×D3—41no—
620C23×D3—41no—
621C23×D3—41no—
622C23×D3—41no—
623C23×D3—41no—
624C23×D3—41no—
625C23×D3—41no—
626C23×D3—41no—
627C23×D3—41no—
628C23×D3C2411yescharacteristic
629C23×D3C2411yescharacteristic
630C23×D3C2411yescharacteristic
631C23×D3C2411yescharacteristic
632C23×D3C2411yescharacteristic
633C2×C3×D4—22no—
634C2×C3×D4—22no—
635C2×C3×D4—22no—
636C2×C3×D4—22no—
637C2×C3×D4—41no—
638C2×C3×D4—41no—
639C2×C3×D4—41no—
640C2×C3×D4—41no—
641C2×C3×D4C2×D414yes—
642C22×C3×C4—22no—
643C22×C3×C4—22no—
644C22×C3×C4—22no—
645C22×C3×C4—22no—
646C22×C3×C4—22no—
647C22×C3×C4—41no—
648C22×C3×C4—41no—
649C22×C3×C4—41no—
650C22×C3×C4—41no—
651C22×C3×C4C2411yescharacteristic
652C22×C3×C4C2411yescharacteristic
653C22×C3×C4C2411yescharacteristic
654C22×C3×C4C2411yescharacteristic
655C22×C3×C4C2411yescharacteristic
656C22×C3×C4C2411yescharacteristic
657C22×C3×C4C2411yescharacteristic
658C22×C3×C4C2411yescharacteristic
659C22×C3×C4C2411yescharacteristic
660C22×C3×C4C2411yescharacteristic
661C22×C3×C4C2411yescharacteristic
662C22×C3×C4C2411yescharacteristic
663C2×#67—22no—
664C2×#67—22no—
665C2×#67—22no—
666C2×#67—22no—
667C2×#67—22no—
668C2×#67—22no—
669C2×#67—22no—
670C2×#67—22no—
671C2×#67—22no—
672C2×#67—22no—
673C2×#67—22no—
674C2×#67—22no—
675C2×#67—22no—
676C2×#67—22no—
677C2×#67—41no—
678C2×#67—41no—
679C2×#67—41no—
680C2×#67—41no—
681C2×#67—41no—
682C2×#67—41no—
683C2×#67—41no—
684C2×#67—41no—
685C2×#67—41no—
686C2×#67C2×D414yes—
687C2×#67C2×D414yes—
688C2×#67C2×D414yes—
689C2×#67C2×D414yes—
690C22×Dic3—22no—
691C22×Dic3—22no—
692C22×Dic3—22no—
693C22×Dic3—22no—
694C22×Dic3—22no—
695C22×Dic3—41no—
696C22×Dic3—41no—
697C22×Dic3—41no—
698C22×Dic3C2×D414yes—
699C22×Dic3C2411yescharacteristic
700C22×Dic3C2411yescharacteristic
701C22×Dic3C2411yescharacteristic
702C22×Dic3C2411yescharacteristic
703C22×Dic3C2411yescharacteristic
704C22×Dic3C2411yescharacteristic
705C22×Dic3C2411yescharacteristic
706C22×Dic3C2411yescharacteristic
707C22×Dic3C2411yescharacteristic
708C22×Dic3C2411yescharacteristic
709C22×Dic3C2411yescharacteristic
710#237—416no—
711D3×D4—416no—
712#235—416no—
713C2×D12—22no—
714C2×D12—22no—
715C2×D12—22no—
716C2×D12—22no—
717C2×D12—22no—
718C2×D12—22no—
719C2×D12—22no—
720C2×D12—22no—
721C2×D12—22no—
722C2×D12—22no—
723C2×D12—41no—
724C2×D12—41no—
725C2×D12—41no—
726C2×D12—41no—
727C2×D12—41no—
728C2×D12—41no—
729C2×D12—41no—
730C2×D12—41no—
731C2×D12—41no—
732C2×D12C2×D414yes—
733C2×D12#4114yescomplemented
734C2×C4×D3—22no—
735C2×C4×D3—22no—
736C2×C4×D3—22no—
737C2×C4×D3—22no—
738C2×C4×D3—22no—
739C2×C4×D3—22no—
740C2×C4×D3—22no—
741C2×C4×D3—22no—
742C2×C4×D3—22no—
743C2×C4×D3—22no—
744C2×C4×D3—22no—
745C2×C4×D3—22no—
746C2×C4×D3—22no—
747C2×C4×D3—22no—
748C2×C4×D3—22no—
749C2×C4×D3—22no—
750C2×C4×D3—22no—
751C2×C4×D3—22no—
752C2×C4×D3—416no—
753C2×C4×D3—41no—
754C2×C4×D3—41no—
755C2×C4×D3—41no—
756C2×C4×D3—41no—
757C2×C4×D3—41no—
758C2×C4×D3—41no—
759C2×C4×D3—41no—
760C2×C4×D3—41no—
761C2×C4×D3C2×D414yes—
762C2×Dic6—22no—
763C2×Dic6—22no—
764C2×Dic6—22no—
765C2×Dic6—22no—
766C2×Dic6—22no—
767C2×Dic6—22no—
768C3×C4⋊C4—22no—
769C3×C4⋊C4—22no—
770C3×C4⋊C4—22no—
771C3×C4⋊C4—22no—
772C3×C4⋊C4—22no—
773C3×C4⋊C4—22no—
774C3×C4⋊C4—41no—
775C3×C4⋊C4—41no—
776C3×C4⋊C4—41no—
777C3×C22⋊C4—22no—
778C3×C22⋊C4—22no—
779C3×C22⋊C4—22no—
780C3×C22⋊C4—22no—
781C3×C22⋊C4—22no—
782C3×C22⋊C4—22no—
783C3×C22⋊C4—22no—
784C3×C22⋊C4—22no—
785C3×C22⋊C4—22no—
786C3×C22⋊C4—22no—
787C3×C22⋊C4—22no—
788C3×C22⋊C4C2×D414yes—
789C3×C42—22no—
790C3×C42—41no—
791#217—22no—
792#217—22no—
793#217—22no—
794#217—22no—
795#217—22no—
796#217—41no—
797#217—41no—
798#217—41no—
799#217C2×D414yes—
800(C2×D3)⋊C4—22no—
801(C2×D3)⋊C4—22no—
802(C2×D3)⋊C4—22no—
803(C2×D3)⋊C4—22no—
804(C2×D3)⋊C4—22no—
805(C2×D3)⋊C4—22no—
806(C2×D3)⋊C4—22no—
807(C2×D3)⋊C4—22no—
808(C2×D3)⋊C4—22no—
809(C2×D3)⋊C4—22no—
810(C2×D3)⋊C4—22no—
811(C2×D3)⋊C4—22no—
812(C2×D3)⋊C4—22no—
813(C2×D3)⋊C4—22no—
814(C2×D3)⋊C4—22no—
815(C2×D3)⋊C4—22no—
816(C2×D3)⋊C4—22no—
817(C2×D3)⋊C4—22no—
818(C2×D3)⋊C4—22no—
819(C2×D3)⋊C4—22no—
820(C2×D3)⋊C4—22no—
821(C2×D3)⋊C4—22no—
822(C2×D3)⋊C4—22no—
823(C2×D3)⋊C4—22no—
824(C2×D3)⋊C4—22no—
825(C2×D3)⋊C4—22no—
826(C2×D3)⋊C4—22no—
827(C2×D3)⋊C4—22no—
828(C2×D3)⋊C4—22no—
829(C2×D3)⋊C4—41no—
830(C2×D3)⋊C4—41no—
831(C2×D3)⋊C4—41no—
832(C2×D3)⋊C4—41no—
833(C2×D3)⋊C4—41no—
834(C2×D3)⋊C4—41no—
835(C2×D3)⋊C4C2×D414yes—
836(C2×D3)⋊C4C2×D414yes—
837C4⋊Dic3—22no—
838C4⋊Dic3—41no—
839C4⋊Dic3—41no—
840Dic3⋊C4—22no—
841Dic3⋊C4—22no—
842Dic3⋊C4—22no—
843Dic3⋊C4—22no—
844Dic3⋊C4—22no—
845Dic3⋊C4—22no—
846Dic3⋊C4—22no—
847Dic3⋊C4—22no—
848Dic3⋊C4—22no—
849Dic3⋊C4—41no—
850Dic3⋊C4—41no—
851Dic3⋊C4—41no—
852Dic3⋊C4—41no—
853Dic3⋊C4C2×D414yes—
854Dic3⋊C4C2×D414yes—
855C4×Dic3—22no—
856C4×Dic3—22no—
857C4×Dic3—22no—
858C4×Dic3—22no—
859C4×Dic3—22no—
860C4×Dic3—22no—
861C4×Dic3—41no—
862C25—31no—
863C25—31no—
864C25—31no—
865C2×#41—64no—
866C2×#41—64no—
867C2×#41—64no—
868C2×#41—64no—
869C2×#41—122no—
870C2×#41—122no—
871C22×Q8—31no—
872C22×Q8—31no—
873C22×D4—31no—
874C22×D4—31no—
875C22×D4—31no—
876C22×D4—31no—
877C22×D4—31no—
878C22×D4—31no—
879C22×D4—31no—
880C22×D4—31no—
881C22×D4—31no—
882C22×D4—31no—
883C22×D4—31no—
884C22×D4—31no—
885C22×D4—31no—
886C22×D4—31no—
887C22×D4—31no—
888C22×D4—31no—
889C22×D4—64no—
890C22×D4—64no—
891C22×D4—122no—
892C22×D4C22×D311yescharacteristic
893C22×D4C22×D311yescharacteristic
894C22×D4C22×D311yescharacteristic
895C23×C4—31no—
896C23×C4—31no—
897C23×C4—31no—
898C23×C4—31no—
899C23×C4—31no—
900C23×C4—31no—
901C23×C4—31no—
902C23×C4—31no—
903C23×C4—31no—
904C23×C4—31no—
905C23×C4—31no—
906C23×C4—31no—
907C23×C4—64no—
908C23×C4—64no—
909C23×C4—122no—
910C23×C4C22×D311yescharacteristic
911C23×C4C22×D311yescharacteristic
912C23×C4C22×D311yescharacteristic
913C4⋊Q8—122no—
914#124—64no—
915#124—64no—
916#123—24no—
917#123—24no—
918#123—64no—
919#123—64no—
920#123—64no—
921#123—64no—
922#123—64no—
923#123—64no—
924C22⋊Q8—64no—
925C22⋊Q8—64no—
926C22⋊Q8—64no—
927C22⋊Q8—64no—
928C22⋊Q8—64no—
929C22⋊Q8—64no—
930#121—24no—
931#121—38no—
932#121—38no—
933#121—64no—
934#121—64no—
935#121—64no—
936#121—64no—
937#121—64no—
938#120—64no—
939#120—64no—
940#120—64no—
941#120—64no—
942#120—64no—
943#120—64no—
944#120—64no—
945#120—64no—
946#120—64no—
947#120—64no—
948#120—64no—
949C4×D4—24no—
950C4×D4—64no—
951C4×D4—64no—
952C4×D4—64no—
953C4×D4—64no—
954C4×D4—64no—
955C4×D4—64no—
956C4×D4—64no—
957C4×D4—64no—
958C4×D4—64no—
959C4×D4—64no—
960C4×D4—64no—
961C4×D4—122no—
962#117—64no—
963#117—64no—
964C2×C4⋊C4—31no—
965C2×C4⋊C4—31no—
966C2×C4⋊C4—31no—
967C2×C4⋊C4—31no—
968C2×C4⋊C4—31no—
969C2×C4⋊C4—31no—
970C2×C4⋊C4—31no—
971C2×C4⋊C4—31no—
972C2×C4⋊C4—31no—
973C2×C4⋊C4—31no—
974C2×C4⋊C4—31no—
975C2×C4⋊C4—31no—
976C2×C4⋊C4—31no—
977C2×C4⋊C4—31no—
978C2×C4⋊C4—31no—
979C2×C4⋊C4—31no—
980C2×C4⋊C4—31no—
981C2×C4⋊C4—31no—
982C2×C4⋊C4C22×D311yescharacteristic
983C2×C4⋊C4C22×D311yescharacteristic
984C2×C4⋊C4C22×D311yescharacteristic
985C2×C4⋊C4C22×D311yescharacteristic
986C2×C4⋊C4C22×D311yescharacteristic
987C2×C4⋊C4C22×D311yescharacteristic
988C2×C4⋊C4C22×D311yescharacteristic
989C2×C4⋊C4C22×D311yescharacteristic
990C2×C4⋊C4C22×D311yescharacteristic
991C2×C22⋊C4—31no—
992C2×C22⋊C4—31no—
993C2×C22⋊C4—31no—
994C2×C22⋊C4—31no—
995C2×C22⋊C4—31no—
996C2×C22⋊C4—31no—
997C2×C22⋊C4—31no—
998C2×C22⋊C4—31no—
999C2×C22⋊C4—31no—
1000C2×C22⋊C4—31no—
1001C2×C22⋊C4—31no—
1002C2×C22⋊C4—31no—
1003C2×C22⋊C4—31no—
1004C2×C22⋊C4—31no—
1005C2×C22⋊C4—31no—
1006C2×C22⋊C4—31no—
1007C2×C22⋊C4—31no—
1008C2×C22⋊C4—31no—
1009C2×C22⋊C4—31no—
1010C2×C22⋊C4—31no—
1011C2×C22⋊C4—31no—
1012C2×C22⋊C4—31no—
1013C2×C22⋊C4—31no—
1014C2×C22⋊C4—31no—
1015C2×C22⋊C4—31no—
1016C2×C22⋊C4—31no—
1017C2×C22⋊C4—31no—
1018C2×C22⋊C4—31no—
1019C2×C22⋊C4—31no—
1020C2×C22⋊C4—31no—
1021C2×C22⋊C4—31no—
1022C2×C22⋊C4—31no—
1023C2×C22⋊C4—31no—
1024C2×C22⋊C4—31no—
1025C2×C22⋊C4—31no—
1026C2×C22⋊C4—31no—
1027C2×C22⋊C4—31no—
1028C2×C22⋊C4—31no—
1029C2×C22⋊C4—31no—
1030C2×C22⋊C4—31no—
1031C2×C22⋊C4—31no—
1032C2×C22⋊C4—31no—
1033C2×C22⋊C4—31no—
1034C2×C22⋊C4—31no—
1035C2×C22⋊C4—31no—
1036C2×C22⋊C4—31no—
1037C2×C22⋊C4—64no—
1038C2×C22⋊C4—64no—
1039C2×C22⋊C4—64no—
1040C2×C22⋊C4—64no—
1041C2×C22⋊C4C22×D311yescharacteristic
1042C2×C22⋊C4C22×D311yescharacteristic
1043C2×C22⋊C4C22×D311yescharacteristic
1044C2×C22⋊C4C22×D311yescharacteristic
1045C2×C22⋊C4C22×D311yescharacteristic
1046C2×C22⋊C4C22×D311yescharacteristic
1047C2×C22⋊C4C22×D311yescharacteristic
1048C2×C22⋊C4C22×D311yescharacteristic
1049C2×C22⋊C4C22×D311yescharacteristic
1050C2×C22⋊C4C22×D311yescharacteristic
1051C2×C22⋊C4C22×D311yescharacteristic
1052C2×C22⋊C4C22×D311yescharacteristic
1053C2×C42—31no—
1054C2×C42—31no—
1055C2×C42—31no—
1056C2×C42—31no—
1057C2×C42—31no—
1058C2×C42—31no—
1059C2×C42—31no—
1060C2×C42C22×D311yescharacteristic
1061C2×C42C22×D311yescharacteristic
1062#95—31no—
1063#95—31no—
1064#95—31no—
1065#95—31no—
1066#95—31no—
1067#95—31no—
1068#95—31no—
1069#95—31no—
1070#95—31no—
1071#95—31no—
1072#95—31no—
1073#95—31no—
1074#95—31no—
1075#95—31no—
1076#95—31no—
1077#95—31no—
1078#95C22×D311yescharacteristic
1079#95C22×D311yescharacteristic
1080#95C22×D311yescharacteristic
1081#95C22×D311yescharacteristic
1082#95C22×D311yescharacteristic
1083#95C22×D311yescharacteristic
1084C23×C3—21no—
1085C23×C3—21no—
1086C23×C3—21no—
1087C23×C3—21no—
1088C23×C3—21no—
1089C23×C3—21no—
1090C23×C3—21no—
1091C23×C3—21no—
1092C23×C3—21no—
1093C23×C3—21no—
1094C23×C3—21no—
1095C23×C3—21no—
1096C23×C3—21no—
1097C23×C3—21no—
1098C23×C3—21no—
1099C23×C3—21no—
1100C23×C3—21no—
1101C23×C3—21no—
1102C23×C3C22×D412yes—
1103C23×C3C22×D412yes—
1104C23×C3C22×D412yes—
1105C23×C3C2511yescharacteristic
1106C22×D3—21no—
1107C22×D3—21no—
1108C22×D3—21no—
1109C22×D3—21no—
1110C22×D3—21no—
1111C22×D3—21no—
1112C22×D3—21no—
1113C22×D3—21no—
1114C22×D3—21no—
1115C22×D3—21no—
1116C22×D3—21no—
1117C22×D3—21no—
1118C22×D3—21no—
1119C22×D3—21no—
1120C22×D3—21no—
1121C22×D3—21no—
1122C22×D3—21no—
1123C22×D3—21no—
1124C22×D3—21no—
1125C22×D3—21no—
1126C22×D3—21no—
1127C22×D3—21no—
1128C22×D3—21no—
1129C22×D3—21no—
1130C22×D3—21no—
1131C22×D3—21no—
1132C22×D3—21no—
1133C22×D3—21no—
1134C22×D3—21no—
1135C22×D3—21no—
1136C22×D3—44no—
1137C22×D3—44no—
1138C22×D3—44no—
1139C22×D3—44no—
1140C22×D3—44no—
1141C22×D3—44no—
1142C22×D3—44no—
1143C22×D3—44no—
1144C22×D3—44no—
1145C22×D3—44no—
1146C22×D3—44no—
1147C22×D3—44no—
1148C22×D3—44no—
1149C22×D3—82no—
1150C22×D3—82no—
1151C22×D3—82no—
1152C22×D3—82no—
1153C22×D3—82no—
1154C22×D3—82no—
1155C22×D3—82no—
1156C22×D3—82no—
1157C22×D3C22×D412yes—
1158C22×D3C22×D412yes—
1159C22×D3C22×D412yes—
1160C22×D3C2×#4112yes—
1161C22×D3C2×#4112yes—
1162C3×D4—44no—
1163C3×D4—44no—
1164C3×D4—44no—
1165C2×C3×C4—21no—
1166C2×C3×C4—21no—
1167C2×C3×C4—21no—
1168C2×C3×C4—21no—
1169C2×C3×C4—21no—
1170C2×C3×C4—21no—
1171C2×C3×C4—21no—
1172C2×C3×C4—21no—
1173C2×C3×C4—21no—
1174C2×C3×C4—21no—
1175C2×C3×C4—21no—
1176C2×C3×C4—21no—
1177C2×C3×C4—21no—
1178C2×C3×C4—21no—
1179C2×C3×C4—21no—
1180C2×C3×C4—21no—
1181C2×C3×C4—21no—
1182C2×C3×C4—21no—
1183C2×C3×C4—21no—
1184C2×C3×C4—21no—
1185C2×C3×C4—21no—
1186C2×C3×C4—21no—
1187C2×C3×C4—21no—
1188C2×C3×C4—21no—
1189C2×C3×C4—21no—
1190C2×C3×C4—21no—
1191C2×C3×C4—21no—
1192C2×C3×C4—21no—
1193C2×C3×C4—21no—
1194C2×C3×C4—21no—
1195C2×C3×C4—21no—
1196C2×C3×C4—21no—
1197C2×C3×C4—44no—
1198C2×C3×C4—44no—
1199C2×C3×C4—82no—
1200C2×C3×C4C22×D412yes—
1201C2×C3×C4C22×D412yes—
1202C2×C3×C4C22×D412yes—
1203C2×C3×C4C2×#4112yes—
1204#67—28no—
1205#67—28no—
1206#67—44no—
1207#67—44no—
1208#67—44no—
1209#67—44no—
1210#67—44no—
1211#67—44no—
1212#67—44no—
1213C2×Dic3—21no—
1214C2×Dic3—21no—
1215C2×Dic3—21no—
1216C2×Dic3—21no—
1217C2×Dic3—21no—
1218C2×Dic3—21no—
1219C2×Dic3—28no—
1220C2×Dic3—21no—
1221C2×Dic3—21no—
1222C2×Dic3—21no—
1223C2×Dic3—21no—
1224C2×Dic3—21no—
1225C2×Dic3—21no—
1226C2×Dic3—21no—
1227C2×Dic3—21no—
1228C2×Dic3—21no—
1229C2×Dic3—21no—
1230C2×Dic3—21no—
1231C2×Dic3—21no—
1232C2×Dic3—21no—
1233C2×Dic3—21no—
1234C2×Dic3—21no—
1235C2×Dic3—21no—
1236C2×Dic3—21no—
1237C2×Dic3—21no—
1238C2×Dic3—21no—
1239C2×Dic3—21no—
1240C2×Dic3—21no—
1241C2×Dic3—44no—
1242C2×Dic3—82no—
1243C2×Dic3C22×D412yes—
1244C2×Dic3C22×D412yes—
1245C2×Dic3C22×D412yes—
1246C2×Dic3C22×D412yes—
1247C2×Dic3C22×D412yes—
1248C2×Dic3H(5,𝔽2)12yes—
1249D12—44no—
1250D12—44no—
1251D12—44no—
1252D12—44no—
1253D12—44no—
1254D12—44no—
1255D12—44no—
1256C4×D3—28no—
1257C4×D3—44no—
1258C4×D3—44no—
1259C4×D3—44no—
1260C4×D3—44no—
1261C4×D3—44no—
1262C4×D3—44no—
1263C4×D3—82no—
1264C4×D3—82no—
1265Dic6—44no—
1266Dic6—44no—
1267C24—31no—
1268C24—31no—
1269C24—31no—
1270C24—31no—
1271C24—31no—
1272C24—62no—
1273C24—62no—
1274C24—62no—
1275C24—62no—
1276C24—62no—
1277C24—62no—
1278C24—62no—
1279C24—62no—
1280C24—62no—
1281C24—121no—
1282C24—121no—
1283C24—121no—
1284C24—121no—
1285C24—121no—
1286C24—121no—
1287C24—121no—
1288C24—121no—
1289C24—121no—
1290C24—121no—
1291C24—121no—
1292C24—121no—
1293C24C23×D311yescharacteristic
1294C24C23×D311yescharacteristic
1295C24C23×D311yescharacteristic
1296#41—1216no—
1297#41—1216no—
1298C2×Q8—62no—
1299C2×Q8—62no—
1300C2×Q8—62no—
1301C2×Q8—62no—
1302C2×Q8—62no—
1303C2×Q8—62no—
1304C2×D4—22no—
1305C2×D4—22no—
1306C2×D4—22no—
1307C2×D4—22no—
1308C2×D4—34no—
1309C2×D4—34no—
1310C2×D4—34no—
1311C2×D4—34no—
1312C2×D4—34no—
1313C2×D4—34no—
1314C2×D4—41no—
1315C2×D4—41no—
1316C2×D4—41no—
1317C2×D4—41no—
1318C2×D4—62no—
1319C2×D4—62no—
1320C2×D4—62no—
1321C2×D4—62no—
1322C2×D4—62no—
1323C2×D4—62no—
1324C2×D4—62no—
1325C2×D4—62no—
1326C2×D4—62no—
1327C2×D4—62no—
1328C2×D4—62no—
1329C2×D4—62no—
1330C2×D4—62no—
1331C2×D4—62no—
1332C2×D4—62no—
1333C2×D4—62no—
1334C2×D4—62no—
1335C2×D4—62no—
1336C2×D4—62no—
1337C2×D4—62no—
1338C2×D4—62no—
1339C2×D4—62no—
1340C2×D4—62no—
1341C2×D4—62no—
1342C2×D4—121no—
1343C2×D4—121no—
1344C2×D4—121no—
1345C2×D4—121no—
1346C2×D4—121no—
1347C2×D4—121no—
1348C2×D4—121no—
1349C2×D4—121no—
1350C2×D4—121no—
1351C2×D4—121no—
1352C2×D4—121no—
1353C2×D4—121no—
1354C2×D4—121no—
1355C2×D4—121no—
1356C2×D4—121no—
1357C2×D4—121no—
1358C2×D4—121no—
1359C2×D4—121no—
1360C2×D4—1216no—
1361C2×D4D3×D414yes—
1362C22×C4—22no—
1363C22×C4—22no—
1364C22×C4—22no—
1365C22×C4—22no—
1366C22×C4—22no—
1367C22×C4—31no—
1368C22×C4—34no—
1369C22×C4—31no—
1370C22×C4—31no—
1371C22×C4—31no—
1372C22×C4—34no—
1373C22×C4—31no—
1374C22×C4—31no—
1375C22×C4—31no—
1376C22×C4—31no—
1377C22×C4—31no—
1378C22×C4—31no—
1379C22×C4—31no—
1380C22×C4—41no—
1381C22×C4—41no—
1382C22×C4—41no—
1383C22×C4—41no—
1384C22×C4—62no—
1385C22×C4—62no—
1386C22×C4—62no—
1387C22×C4—62no—
1388C22×C4—62no—
1389C22×C4—62no—
1390C22×C4—62no—
1391C22×C4—62no—
1392C22×C4—62no—
1393C22×C4—62no—
1394C22×C4—62no—
1395C22×C4—62no—
1396C22×C4—62no—
1397C22×C4—62no—
1398C22×C4—62no—
1399C22×C4—62no—
1400C22×C4—62no—
1401C22×C4—62no—
1402C22×C4—62no—
1403C22×C4—62no—
1404C22×C4—62no—
1405C22×C4—62no—
1406C22×C4—62no—
1407C22×C4—121no—
1408C22×C4—121no—
1409C22×C4—121no—
1410C22×C4—121no—
1411C22×C4—121no—
1412C22×C4—121no—
1413C22×C4—121no—
1414C22×C4—121no—
1415C22×C4—1216no—
1416C22×C4—121no—
1417C22×C4—121no—
1418C22×C4—121no—
1419C22×C4C23×D311yescharacteristic
1420C22×C4C23×D311yescharacteristic
1421C22×C4C23×D311yescharacteristic
1422C22×C4C23×D311yescharacteristic
1423C22×C4C23×D311yescharacteristic
1424C22×C4C23×D311yescharacteristic
1425C22×C4C23×D311yescharacteristic
1426C22×C4C23×D311yescharacteristic
1427C22×C4C23×D311yescharacteristic
1428C22×C4C23×D311yescharacteristic
1429C22×C4C23×D311yescharacteristic
1430C22×C4C23×D311yescharacteristic
1431C4⋊C4—22no—
1432C4⋊C4—22no—
1433C4⋊C4—22no—
1434C4⋊C4—22no—
1435C4⋊C4—22no—
1436C4⋊C4—22no—
1437C4⋊C4—34no—
1438C4⋊C4—34no—
1439C4⋊C4—41no—
1440C4⋊C4—41no—
1441C4⋊C4—41no—
1442C4⋊C4—62no—
1443C4⋊C4—62no—
1444C4⋊C4—62no—
1445C4⋊C4—62no—
1446C4⋊C4—62no—
1447C4⋊C4—62no—
1448C4⋊C4—62no—
1449C4⋊C4—62no—
1450C4⋊C4—62no—
1451C4⋊C4—62no—
1452C4⋊C4—121no—
1453C4⋊C4—121no—
1454C4⋊C4—121no—
1455C4⋊C4—121no—
1456C4⋊C4—121no—
1457C4⋊C4—121no—
1458C22⋊C4—22no—
1459C22⋊C4—22no—
1460C22⋊C4—22no—
1461C22⋊C4—22no—
1462C22⋊C4—22no—
1463C22⋊C4—22no—
1464C22⋊C4—22no—
1465C22⋊C4—22no—
1466C22⋊C4—22no—
1467C22⋊C4—22no—
1468C22⋊C4—22no—
1469C22⋊C4—34no—
1470C22⋊C4—34no—
1471C22⋊C4—34no—
1472C22⋊C4—62no—
1473C22⋊C4—62no—
1474C22⋊C4—62no—
1475C22⋊C4—62no—
1476C22⋊C4—62no—
1477C22⋊C4—62no—
1478C22⋊C4—62no—
1479C22⋊C4—62no—
1480C22⋊C4—62no—
1481C22⋊C4—62no—
1482C22⋊C4—62no—
1483C22⋊C4—62no—
1484C22⋊C4—62no—
1485C22⋊C4—62no—
1486C22⋊C4—62no—
1487C22⋊C4—62no—
1488C22⋊C4—62no—
1489C22⋊C4—62no—
1490C22⋊C4—62no—
1491C22⋊C4—62no—
1492C22⋊C4—62no—
1493C22⋊C4—62no—
1494C22⋊C4—62no—
1495C22⋊C4—62no—
1496C22⋊C4—62no—
1497C22⋊C4—62no—
1498C22⋊C4—62no—
1499C22⋊C4—62no—
1500C22⋊C4—62no—
1501C22⋊C4—62no—
1502C22⋊C4—62no—
1503C22⋊C4—62no—
1504C22⋊C4—62no—
1505C22⋊C4—62no—
1506C22⋊C4—121no—
1507C22⋊C4—121no—
1508C22⋊C4—121no—
1509C22⋊C4—121no—
1510C22⋊C4—121no—
1511C22⋊C4—121no—
1512C22⋊C4—121no—
1513C22⋊C4—121no—
1514C22⋊C4—121no—
1515C22⋊C4D3×D414yes—
1516C42—22no—
1517C42—41no—
1518C42—62no—
1519C42—62no—
1520C42—62no—
1521C42—62no—
1522C42—62no—
1523C42—62no—
1524C42—121no—
1525C22×C3—22no—
1526C22×C3—22no—
1527C22×C3—22no—
1528C22×C3—22no—
1529C22×C3—22no—
1530C22×C3—22no—
1531C22×C3—22no—
1532C22×C3—22no—
1533C22×C3—22no—
1534C22×C3—41no—
1535C22×C3—41no—
1536C22×C3—41no—
1537C22×C3—41no—
1538C22×C3—41no—
1539C22×C3—41no—
1540C22×C3—41no—
1541C22×C3—41no—
1542C22×C3—41no—
1543C22×C3—41no—
1544C22×C3—41no—
1545C22×C3—41no—
1546C22×C3C23×D411yescharacteristic
1547C22×C3C23×D411yescharacteristic
1548C22×C3C22×#4111yescharacteristic
1549C22×C3C2×H(5,𝔽2)11yescharacteristic
1550C22×C3#58511yescharacteristic
1551C22×C3#58511yescharacteristic
1552C22×C3#58511yescharacteristic
1553C2×D3—22no—
1554C2×D3—22no—
1555C2×D3—22no—
1556C2×D3—22no—
1557C2×D3—22no—
1558C2×D3—22no—
1559C2×D3—22no—
1560C2×D3—22no—
1561C2×D3—22no—
1562C2×D3—22no—
1563C2×D3—22no—
1564C2×D3—22no—
1565C2×D3—22no—
1566C2×D3—22no—
1567C2×D3—22no—
1568C2×D3—416no—
1569C2×D3—41no—
1570C2×D3—41no—
1571C2×D3—41no—
1572C2×D3—41no—
1573C2×D3—41no—
1574C2×D3—41no—
1575C2×D3—41no—
1576C2×D3—41no—
1577C2×D3—41no—
1578C2×D3—41no—
1579C2×D3—41no—
1580C2×D3—41no—
1581C2×D3—41no—
1582C2×D3—41no—
1583C2×D3—41no—
1584C2×D3—41no—
1585C2×D3—41no—
1586C2×D3—41no—
1587C2×D3—41no—
1588C2×D3—41no—
1589C2×D3—88no—
1590C2×D3—88no—
1591C3×C4—22no—
1592C3×C4—22no—
1593C3×C4—22no—
1594C3×C4—22no—
1595C3×C4—41no—
1596C3×C4—41no—
1597C3×C4—41no—
1598C3×C4—41no—
1599C3×C4—41no—
1600C3×C4—41no—
1601C3×C4—41no—
1602C3×C4—41no—
1603Dic3—22no—
1604Dic3—22no—
1605Dic3—22no—
1606Dic3—41no—
1607Dic3—41no—
1608Dic3—41no—
1609Dic3—41no—
1610Dic3—41no—
1611Dic3—41no—
1612Dic3—41no—
1613Dic3D4214yes—
1614C23—21no—
1615C23—21no—
1616C23—21no—
1617C23—21no—
1618C23—21no—
1619C23—21no—
1620C23—21no—
1621C23—21no—
1622C23—21no—
1623C23—21no—
1624C23—21no—
1625C23—21no—
1626C23—21no—
1627C23—21no—
1628C23—21no—
1629C23—21no—
1630C23—21no—
1631C23—21no—
1632C23—32no—
1633C23—32no—
1634C23—32no—
1635C23—32no—
1636C23—32no—
1637C23—61no—
1638C23—61no—
1639C23—61no—
1640C23—61no—
1641C23—61no—
1642C23—61no—
1643C23—61no—
1644C23—61no—
1645C23—61no—
1646C23—61no—
1647C23—61no—
1648C23—61no—
1649C23—61no—
1650C23—61no—
1651C23—61no—
1652C23—61no—
1653C23—61no—
1654C23—61no—
1655C23—61no—
1656C23—61no—
1657C23—61no—
1658C23—61no—
1659C23—61no—
1660C23—61no—
1661C23—61no—
1662C23—61no—
1663C23—61no—
1664C23—61no—
1665C23—61no—
1666C23—61no—
1667C23—124no—
1668C23—124no—
1669C23—124no—
1670C23—124no—
1671C23—124no—
1672C23—124no—
1673C23—124no—
1674C23—124no—
1675C23—124no—
1676C23—124no—
1677C23—124no—
1678C23—124no—
1679C23—124no—
1680C23—242no—
1681C23—242no—
1682C23—242no—
1683C23—242no—
1684C23—242no—
1685C23—242no—
1686C23—242no—
1687C23—242no—
1688C23C2×D3×D412yes—
1689C23C2×D3×D412yes—
1690C23C2×D3×D412yes—
1691C23C24×D311yescharacteristic
1692Q8—124no—
1693Q8—124no—
1694D4—44no—
1695D4—44no—
1696D4—44no—
1697D4—68no—
1698D4—68no—
1699D4—124no—
1700D4—124no—
1701D4—124no—
1702D4—124no—
1703D4—124no—
1704D4—124no—
1705D4—124no—
1706D4—124no—
1707D4—124no—
1708D4—124no—
1709D4—124no—
1710D4—124no—
1711D4—124no—
1712D4—124no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—32no—
1746C2×C4—32no—
1747C2×C4—32no—
1748C2×C4—32no—
1749C2×C4—32no—
1750C2×C4—32no—
1751C2×C4—44no—
1752C2×C4—44no—
1753C2×C4—68no—
1754C2×C4—68no—
1755C2×C4—61no—
1756C2×C4—61no—
1757C2×C4—61no—
1758C2×C4—61no—
1759C2×C4—61no—
1760C2×C4—61no—
1761C2×C4—61no—
1762C2×C4—61no—
1763C2×C4—61no—
1764C2×C4—61no—
1765C2×C4—61no—
1766C2×C4—61no—
1767C2×C4—61no—
1768C2×C4—61no—
1769C2×C4—61no—
1770C2×C4—61no—
1771C2×C4—61no—
1772C2×C4—61no—
1773C2×C4—61no—
1774C2×C4—61no—
1775C2×C4—61no—
1776C2×C4—61no—
1777C2×C4—61no—
1778C2×C4—61no—
1779C2×C4—61no—
1780C2×C4—61no—
1781C2×C4—61no—
1782C2×C4—82no—
1783C2×C4—124no—
1784C2×C4—124no—
1785C2×C4—124no—
1786C2×C4—124no—
1787C2×C4—124no—
1788C2×C4—124no—
1789C2×C4—124no—
1790C2×C4—242no—
1791C2×C4—242no—
1792C2×C4—242no—
1793C2×C4C2×D3×D412yes—
1794C2×C4C2×D3×D412yes—
1795C2×C4C2×D3×D412yes—
1796C2×C4D3×#4112yes—
1797C2×C3—42no—
1798C2×C3—42no—
1799C2×C3—42no—
1800C2×C3C2×D4211yescharacteristic
1801C2×C3D4×#4111yescharacteristic
1802C2×C3D4×#4111yescharacteristic
1803C2×C3#348511yescharacteristic
1804C2×C3#348511yescharacteristic
1805C2×C3#350511yescharacteristic
1806C2×C3#354011yescharacteristic
1807D3—42no—
1808D3—42no—
1809D3—42no—
1810D3—42no—
1811D3—42no—
1812C22—22no—
1813C22—22no—
1814C22—22no—
1815C22—22no—
1816C22—22no—
1817C22—22no—
1818C22—22no—
1819C22—22no—
1820C22—22no—
1821C22—41no—
1822C22—41no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—41no—
1829C22—41no—
1830C22—41no—
1831C22—41no—
1832C22—41no—
1833C22—62no—
1834C22—62no—
1835C22—62no—
1836C22—62no—
1837C22—62no—
1838C22—62no—
1839C22—62no—
1840C22—62no—
1841C22—62no—
1842C22—62no—
1843C22—62no—
1844C22—62no—
1845C22—62no—
1846C22—62no—
1847C22—62no—
1848C22—1216no—
1849C22—121no—
1850C22—121no—
1851C22—121no—
1852C22—121no—
1853C22—121no—
1854C22—121no—
1855C22—121no—
1856C22—121no—
1857C22—121no—
1858C22—121no—
1859C22—121no—
1860C22—121no—
1861C22—121no—
1862C22—121no—
1863C22—121no—
1864C22—121no—
1865C22—121no—
1866C22—121no—
1867C22—121no—
1868C22—121no—
1869C22—248no—
1870C22—248no—
1871C22C22×D3×D411yescharacteristic
1872C22C22×D3×D411yescharacteristic
1873C22C2×D3×#4111yescharacteristic
1874C22#596411yescharacteristic
1875C22#596411yescharacteristic
1876C22D3×H(5,𝔽2)11yescharacteristic
1877C22#596811yescharacteristic
1878C4—22no—
1879C4—22no—
1880C4—22no—
1881C4—22no—
1882C4—34no—
1883C4—41no—
1884C4—41no—
1885C4—41no—
1886C4—41no—
1887C4—41no—
1888C4—41no—
1889C4—41no—
1890C4—41no—
1891C4—62no—
1892C4—62no—
1893C4—62no—
1894C4—121no—
1895C4—121no—
1896C4—121no—
1897C4—121no—
1898C4—121no—
1899C4—121no—
1900C4—121no—
1901C3#5900011yescharacteristic, complemented, Sylow
1902C2—42no—
1903C2—42no—
1904C2—42no—
1905C2—122no—
1906C2—122no—
1907C2—122no—
1908C2—122no—
1909C2—122no—
1910C2#8601211yescharacteristic
1911C2#8623811yescharacteristic
1912C2#8653011yescharacteristic
1913C2D3×D4211yescharacteristic
1914C2#8667411yescharacteristic
1915C2#8670011yescharacteristic
1916C2#8691211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2422C2
hypercenter#2422D3
hypocenterC3#59000
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2422

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C2×#5654C2semidirect
2. C2×#5656C2semidirect
3. C2×#5610C2semidirect
4. C2×#5547C2semidirect
5. C3×#2422C2semidirect
6. #82898C2semidirect
7. #82896C2semidirect
8. #82713C2semidirect
9. #82404C2semidirect
10. #77689C2semidirect
11. #77669C2semidirect
12. #77466C2semidirect
13. #77462C2semidirect
14. #77138C2semidirect
15. #76904C2semidirect
16. #76900C2semidirect
17. #76895C2semidirect
18. #76464C2semidirect
19. #76305C2semidirect
20. #76226C2semidirect
21. #75995C2semidirect
22. #74596C2semidirect
23. #74411C2semidirect
24. #74409C2semidirect
25. #74379C2semidirect
26. #74362C2semidirect
27. #74334C2semidirect
28. #74021C2semidirect
29. #73895C2semidirect
30. #73577C2semidirect
31. #73470C2semidirect
34. C22×D3×D4C22semidirect
36. C23×C4×D3C22semidirect
37. C2×C3×#123C22semidirect
38. C2×C3×#123C22semidirect
40. C2×C3×C4×D4C22semidirect
45. C2×#937C22semidirect
46. C2×#937C22semidirect
47. C2×#935C22semidirect
48. C2×#929C22semidirect
49. C2×C4×#67C22semidirect
50. C2×C4×#67C22semidirect
51. C2×C4×#67C22semidirect
52. C22×(C2×D3)⋊C4C22semidirect
53. C22×(C2×D3)⋊C4C22semidirect
58. C2×#896C22semidirect
59. C2×#896C22semidirect
60. C2×#896C22semidirect
61. C2×#896C22semidirect
62. C2×#896C22semidirect
64. C2×#894C22semidirect
65. C2×#894C22semidirect
66. C2×#894C22semidirect
69. C2×#893C22semidirect
70. C2×#893C22semidirect
71. C2×#888C22semidirect
72. C2×#885C22semidirect
73. C2×#885C22semidirect
78. C2×#883C22semidirect
84. C2×#882C22semidirect
85. C2×#882C22semidirect
87. C2×#67⋊C4C22semidirect
88. C2×#67⋊C4C22semidirect
89. C2×#67⋊C4C22semidirect
90. C2×D3×C22⋊C4C22semidirect
91. C2×D3×C22⋊C4C22semidirect
92. C2×#878C22semidirect
93. C2×#877C22semidirect
94. C2×C4×D12C22semidirect
95. C2×#872C22semidirect
96. C3×#397C22semidirect
97. C3×#397C22semidirect
98. C3×#394C22semidirect
99. C3×#394C22semidirect
100. C3×#390C22semidirect
101. C3×#389C22semidirect
102. C3×#385C22semidirect
103. C3×#385C22semidirect
104. C3×#384C22semidirect
105. C3×#380C22semidirect
106. C3×C4×C22⋊C4C22semidirect
108. #5222C22semidirect
109. #5220C22semidirect
111. #5213C22semidirect
112. #5213C22semidirect
113. #5210C22semidirect
114. #4993C22semidirect
115. #4993C22semidirect
116. #4993C22semidirect
117. #4993C22semidirect
118. #4992C22semidirect
119. #4992C22semidirect
121. #4991C22semidirect
122. #4991C22semidirect
123. #4991C22semidirect
124. #4990C22semidirect
125. #4990C22semidirect
126. #4989C22semidirect
127. #4989C22semidirect
128. #4989C22semidirect
129. #4989C22semidirect
131. #4987C22semidirect
132. #4976C22semidirect
133. #4976C22semidirect
134. #4975C22semidirect
135. #4972C22semidirect
137. #4961C22semidirect
138. #4961C22semidirect
139. #4961C22semidirect
141. #4959C22semidirect
142. #4959C22semidirect
143. #4959C22semidirect
144. #4958C22semidirect
145. #4957C22semidirect
146. #4957C22semidirect
147. #4957C22semidirect
148. #4957C22semidirect
149. #4956C22semidirect
150. #4955C22semidirect
151. #4955C22semidirect
152. #4955C22semidirect
153. #4952C22semidirect
154. #4952C22semidirect
155. #4951C22semidirect
156. #4950C22semidirect
157. #4946C22semidirect
158. #4944C22semidirect
159. #4942C22semidirect
160. Dic3×C22⋊C4C22semidirect
161. Dic3×C22⋊C4C22semidirect
162. #4940C22semidirect
163. #4940C22semidirect
165. #4939C22semidirect
166. C4×(C2×D3)⋊C4C22semidirect
167. C4×Dic3⋊C4C22semidirect
168. #4675C22semidirect
169. #4675C22semidirect
171. #4672C22semidirect
172. #4672C22semidirect
174. #4670C22semidirect
175. #4669C22semidirect
176. #4668C22semidirect
177. #4668C22semidirect
178. #4667C22semidirect
179. #4667C22semidirect
180. #4666C22semidirect
181. #4666C22semidirect
182. #4666C22semidirect
185. #4665C22semidirect
186. #4665C22semidirect
187. #4665C22semidirect
188. #4647C22semidirect
189. #4647C22semidirect
190. #4646C22semidirect
191. #4646C22semidirect
210. #2422D3semidirect
311. #939D4semidirect
404. #884D4semidirect
462. C2×#123C2×D3semidirect
463. C2×#123C2×D3semidirect
501. C2×C4×D4C2×D3semidirect
518. #397C2×D3semidirect
519. #397C2×D3semidirect
536. #394C2×D3semidirect
537. #394C2×D3semidirect
549. #390C2×D3semidirect
555. #389C2×D3semidirect
584. #385C2×D3semidirect
585. #385C2×D3semidirect
587. #384C2×D3semidirect
592. #380C2×D3semidirect
603. C4×C22⋊C4C2×D3semidirect
733. C2×D12#41semidirect
1901. C3#59000semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C2×#56542
C2×#56562
C2×#56102
C2×#55472
C3×#24222
#828982
#828962
#827132
#824042
#776892
#776692
#774662
#774622
#771382
#769042
#769002
#768952
#764642
#763052
#762262
#759952
#745962
#744112
#744092
#743792
#743622
#743342
#740212
#738952
#735772
#734702
#590003